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Goodwill and Other Intangibles - Schedule of other intangible assets subject to amortization (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
May 31, 2023
Finite-lived Intangible Assets [Roll Forward]      
Beginning balance other intangibles subject to amortization $ 7.8 $ 6.0 $ 6.0
Additions 0.0 0.0 4.1
Amortization expense (0.5) (0.5) (2.2)
Foreign currency translation 0.0 (0.2) (0.1)
Total other intangibles subject to amortization, net of accumulated amortization of $24.8, $24.1 and $22.5, respectively 7.3 5.3 7.8
Accumulated amortization of intangible assets 37.0 34.8 36.5
Total other intangibles not subject to amortization 2.1 2.1 2.1
Total other intangibles $ 9.4 $ 7.4 $ 9.9